Custom Ellipse Plotting Function

Resource Overview

MATLAB custom ellipse plotting function: ellipse, whose powerful capabilities become evident upon usage! The input parameters include: -ra major axis radius (can be column matrix for multiple ellipses) -rb minor axis radius (similar to ra) -ang tilt angle in radians -x0,y0 center coordinates -C line color -Nb number of plotting points. Implementation demonstrates efficient parametric equation handling for batch ellipse generation.

Detailed Documentation

In MATLAB, you can utilize the custom function: ellipse for drawing ellipses. This function reveals its powerful capabilities when put into practice! The ellipse function accepts the following input parameters: - ra: Major axis radius of the ellipse, which can be a column matrix. When provided as a column matrix, multiple ellipses can be plotted simultaneously using vectorized operations. - rb: Minor axis radius of the ellipse, which can also be a column matrix, similar to ra. The function handles elliptical geometry through parametric equations involving both radii. - ang: Tilt angle of the horizontal axis, expressed in radians. This parameter can also be a column matrix, but the matrix dimensions for ra, rb, and ang must be consistent to ensure proper coordinate transformation. - x0, y0: Center coordinates of the ellipse, which can be matrices. When matrices are provided, the function can plot multiple ellipses with different center positions in a single call, demonstrating efficient batch processing capabilities. - C: Color specification for the ellipse line, following MATLAB's standard color notation system. - Nb: Number of points used to draw the ellipse, controlling the smoothness of the curve through trigonometric calculations. The ellipse function employs parametric equations (x = ra*cos(t)*cos(ang) - rb*sin(t)*sin(ang) + x0, y = ra*cos(t)*sin(ang) + rb*sin(t)*cos(ang) + y0) to generate smooth elliptical curves. Its vectorized implementation allows efficient plotting of multiple ellipses with different parameters in one function call. If you need to draw ellipses in MATLAB, this robust function provides an excellent solution for both single and multiple ellipse generation scenarios!